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WAVE TRANSMISSION AND REFLECTION FROM THE BOUNDARY OF PHONONIC CRYSTAL – HOMOGENEOUS MEDIUM Full article

Journal Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172
Output data Year: 2020, Volume: 8, Number: 1, Pages: 62-75 Pages count : 14 DOI: 10.32523/2306-6172-2020-8-1-62-75
Tags boundary of phononic crystal – homogeneous medium, wave transmission, mathematical model
Authors Saimanova Z.B. 1 , Sukhinin S.V. 2 , Zhumadillayeva A.K. 1
Affiliations
1 L.N.Gumilyov Eurasian National University, Nur-Sultan,Republic of Kazakhstan
2 Lavrentyev Institute for Hydrodynamics SB RAS, Novosibirsk, Russia

Abstract: The article suggests a mathematical model describing the steady-state process of normal incidence, transmission and reflection of acoustic waves falling from a half-space filled with a homogeneous medium to the interface of a half-space filled with a layered heterogeneous 2-component one-dimensional-periodic medium, which can be considered a phonon crystal. The influence of geometrical parameters (size of inhomogeneities) and physical parameters of all media (density, speed of sound) on the coefficients of transmission and reflection is studied. For a number of materials the optimal parameter values for certain target functions are found.
Cite: Saimanova Z.B. , Sukhinin S.V. , Zhumadillayeva A.K.
WAVE TRANSMISSION AND REFLECTION FROM THE BOUNDARY OF PHONONIC CRYSTAL – HOMOGENEOUS MEDIUM
Eurasian Journal of Mathematical and Computer Applications. 2020. V.8. N1. P.62-75. DOI: 10.32523/2306-6172-2020-8-1-62-75 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: Oct 3, 2019
Published print: Jan 13, 2020
Accepted: Jan 21, 2020
Identifiers:
Web of science: WOS:000519815300004
Scopus: 2-s2.0-85084358810
Elibrary: 43274002
OpenAlex: W3014578861
Citing:
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OpenAlex 3
Elibrary 6
Scopus 3
Web of science 3
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